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Algebra Logika, 2015 Volume 54, Number 4, Pages 463–492 (Mi al705)
Totally $P$-stable Abelian groups

E. A. Palyutinab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

Abstract: We give a complete description of Abelian groups that are totally $P$-stable for the following four natural types of subgroups: arbitrary subgroups, pure subgroups, elementary subsystems, and algebraically closed subgroups.

Keywords: Abelian group, totally $P$-stable group.

UDC: 510.67+512.57

Received: 19.01.2015

DOI: 10.17377/alglog.2015.54.404


 English version: Algebra and Logic, 2015, 54:4, 296–315

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© Steklov Math. Inst. of RAS, 2026